Codeforces Round 383 (Div. 2) |
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Finished |

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implementation

math

number theory

*1000

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A. Arpa’s hard exam and Mehrdad’s naive cheat

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputThere exists an island called Arpa’s land, some beautiful girls live there, as ugly ones do.

Mehrdad wants to become minister of Arpa’s land. Arpa has prepared an exam. Exam has only one question, given *n*, print the last digit of 1378^{n}.

Mehrdad has become quite confused and wants you to help him. Please help, although it's a naive cheat.

Input

The single line of input contains one integer *n* (0 ≤ *n* ≤ 10^{9}).

Output

Print single integer — the last digit of 1378^{n}.

Examples

Input

1

Output

8

Input

2

Output

4

Note

In the first example, last digit of 1378^{1} = 1378 is 8.

In the second example, last digit of 1378^{2} = 1378·1378 = 1898884 is 4.

Codeforces (c) Copyright 2010-2024 Mike Mirzayanov

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